In the given diagram, calculate the Deflection of point B. 

(Take Young's modulus of elasticity = E and I = Moment of Inertia)

Concept:

Deflection at the free end of the cantilever beam, due to point load at the free end and uniformly distributed load (udl) over the whole span:

\(Δ_B={WL^3\over 3EI}\)

\(Δ_B={wL^4\over 8EI}\)

Calculation:

Given

Deflection at B (Δ_B) = \({WL^3\over 3EI}+{wL^4\over 8EI}\)

Deflection at B (ΔB) = \({10\times 1^3\over 3EI}+{5\times 1^4\over 8EI}\) = \({10\over 3EI}+{5\over 8EI}={95\over 24EI}\)

Deflection at B (ΔB) = \(95\over 24EI\)

Hence option (1) is the correct answer.